Volumes using cross sections allow us to find the volume of a number of solids using integration.
Steps:
1) Sketch the solid and a typical cross section.
2) Find a formula for A(x).
3) Find the limits of integration.
4) Integrate A(x) to find the volume.
Steps:
1) Sketch the solid and a typical cross section.
2) Find a formula for A(x).
3) Find the limits of integration.
4) Integrate A(x) to find the volume.
Square: